4413404124324 has 384 divisors, whose sum is σ = 13199521843200. Its totient is φ = 1263871848960.

The previous prime is 4413404124301. The next prime is 4413404124329. The reversal of 4413404124324 is 4234214043144.

4413404124324 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 404 + 1 + 243 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4413404124329) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2647512139 + ... + 2647513805.

It is an arithmetic number, because the mean of its divisors is an integer number (34373754800).

Almost surely, 2^{4413404124324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4413404124324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599760921600).

4413404124324 is an abundant number, since it is smaller than the sum of its proper divisors (8786117718876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4413404124324 is a wasteful number, since it uses less digits than its factorization.

4413404124324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4413404124324 its reverse (4234214043144), we get a palindrome (8647618167468).

The spelling of 4413404124324 in words is "four trillion, four hundred thirteen billion, four hundred four million, one hundred twenty-four thousand, three hundred twenty-four".